Answer:
a = 68deg b = 112deg c = 68deg
Step-by-step explanation:
angle opposite 112deg is 112deg (vertically opp angels)
since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)
b = 112 deg (vertically opp angles)
c = a (vertically opp angles)
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Answer with explanation</u>
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Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Set of hypothesis :
Confidence interval for population proportion is given by :-
, where
n= sample size
= sample proportion
and is the two-tailed z-value for confidence level (c).
As per given ,
Sample size of parents : n= 1085
Number of parents indicated that they were satisfied= 466
Sample proportion :
Critical value for 90% confidence interval : ( by z-value table)
Now, the 90% confidence interval :
Thus , the 90% confidence interval: (0.4043, 0.4537).
Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .
i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.
Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
+22x+24x+48=1200
+46x+48-1200=0
+46x-1152=0
Solve using quadratic formula
x=
x=
x=
Simplify it
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
yes it makes an obtuse triangle
Answer:
alternate angle and counter